It is not an either/or situation. A good grounding in science and understanding of scientific principles goes a long way towards making the propaganda less effective. The lack of knowledge and critical thinking abilities fuel climate change denialism and acceptance of pseudo-science in the general public on all subjects.
On the other hand, a lot of people with good grounding in science fall for the greenwash that western liberal governments are selling. Merely being more educated doesn't make people immune to manipulation, it just requires different packaging.
I thought that was common knowledge and we were all just to apathic to do anything. I mean we voted in governemnts that promised to change it and didn't do shit in many countries.